57128320 has 64 divisors (see below), whose sum is σ = 142547040. Its totient is φ = 21852160.

The previous prime is 57128311. The next prime is 57128339. The reversal of 57128320 is 2382175.

57128320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12780 + ... + 16660.

Almost surely, 2^57128320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71273520).

57128320 is an abundant number, since it is smaller than the sum of its proper divisors (85418720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57128320 is a wasteful number, since it uses less digits than its factorization.

57128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 57128320 is about 7558.3278574034. The cubic root of 57128320 is about 385.1386918096.

The spelling of 57128320 in words is "fifty-seven million, one hundred twenty-eight thousand, three hundred twenty".